Search a number
-
+
10142312401 = 131136904229
BaseRepresentation
bin10010111001000011…
…10110011111010001
3222011211112212001001
421130201312133101
5131232412444101
64354224542001
7506223142624
oct113441663721
928154485031
1010142312401
114335086471
121b70781901
13c583271b0
146c3009dbb
153e561e901
hex25c8767d1

10142312401 has 8 divisors (see below), whose sum is σ = 11019151080. Its totient is φ = 9279282432.

The previous prime is 10142312363. The next prime is 10142312413. The reversal of 10142312401 is 10421324101.

It can be written as a sum of positive squares in 4 ways, for example, as 26780625 + 10115531776 = 5175^2 + 100576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10142312401 - 27 = 10142312273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10142312491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3450646 + ... + 3453583.

It is an arithmetic number, because the mean of its divisors is an integer number (1377393885).

Almost surely, 210142312401 is an apocalyptic number.

It is an amenable number.

10142312401 is a deficient number, since it is larger than the sum of its proper divisors (876838679).

10142312401 is a wasteful number, since it uses less digits than its factorization.

10142312401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904355.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10142312401 its reverse (10421324101), we get a palindrome (20563636502).

The spelling of 10142312401 in words is "ten billion, one hundred forty-two million, three hundred twelve thousand, four hundred one".

Divisors: 1 13 113 1469 6904229 89754977 780177877 10142312401